SummaryOver the past fifteen years, the paradigm of quantum entanglement has revolutionised the understanding of strongly correlated lattice systems. Entanglement and closely related concepts originating from quantum information theory are optimally suited for quantifying and characterising quantum correlations and have therefore proven instrumental for the classification of the exotic phases discovered in condensed quantum matter. One groundbreaking development originating from this research is a novel class of variational many body wave functions known as tensor network states. Their explicit local structure and unique entanglement features make them very flexible and extremely powerful both as a numerical simulation method and as a theoretical tool.
The goal of this proposal is to lift this “entanglement methodology” into the realm of quantum field theory. In high energy physics, the widespread interest in entanglement has only been triggered recently due to the intriguing connections between entanglement and the structure of spacetime that arise in black hole physics and quantum gravity. During the past few years, direct continuum limits of various tensor network ansätze have been formulated. However, the application thereof is largely unexplored territory and holds promising potential. This proposal formulates several advancements and developments for the theoretical and computational study of continuous quantum systems, gauge theories and exotic quantum phases, but also for establishing the intricate relation between entanglement, renormalisation and geometry in the context of the holographic principle. Ultimately, these developments will radically alter the way in which to approach some of the most challenging questions in physics, ranging from the simulation of cold atom systems to non-equilibrium or high-density situations in quantum chromodynamics and the standard model.

Over the past fifteen years, the paradigm of quantum entanglement has revolutionised the understanding of strongly correlated lattice systems. Entanglement and closely related concepts originating from quantum information theory are optimally suited for quantifying and characterising quantum correlations and have therefore proven instrumental for the classification of the exotic phases discovered in condensed quantum matter. One groundbreaking development originating from this research is a novel class of variational many body wave functions known as tensor network states. Their explicit local structure and unique entanglement features make them very flexible and extremely powerful both as a numerical simulation method and as a theoretical tool.
The goal of this proposal is to lift this “entanglement methodology” into the realm of quantum field theory. In high energy physics, the widespread interest in entanglement has only been triggered recently due to the intriguing connections between entanglement and the structure of spacetime that arise in black hole physics and quantum gravity. During the past few years, direct continuum limits of various tensor network ansätze have been formulated. However, the application thereof is largely unexplored territory and holds promising potential. This proposal formulates several advancements and developments for the theoretical and computational study of continuous quantum systems, gauge theories and exotic quantum phases, but also for establishing the intricate relation between entanglement, renormalisation and geometry in the context of the holographic principle. Ultimately, these developments will radically alter the way in which to approach some of the most challenging questions in physics, ranging from the simulation of cold atom systems to non-equilibrium or high-density situations in quantum chromodynamics and the standard model.

Max ERC Funding

1 499 375 €

Duration

Start date: 2017-02-01, End date: 2022-01-31

Project acronymHELIOS

ProjectHeavy Element Laser Ionization Spectroscopy

Researcher (PI)Pieter Van Duppen

Host Institution (HI)KATHOLIEKE UNIVERSITEIT LEUVEN

Call DetailsAdvanced Grant (AdG), PE2, ERC-2011-ADG_20110209

SummaryThe aim of this proposal is to develop a novel laser-spectroscopy method and to study nuclear and atomic properties of heaviests elements in order to address the following key questions:
- Is the existence of the heaviest isotopes determined by the interplay between single-particle and collective nucleon degrees of freedom in the atomic nucleus?
- How do relativistic effects and isotopic composition influence the valence atomic structure of the heaviest elements?
The new approach is based on in-gas jet, high-repetition, high-resolution laser resonance ionization spectroscopy of short-lived nuclear-reaction products stopped in a buffer gas cell. The final goal is to couple the new system to the strongest production facility under construction at the ESFRI-listed SPIRAL-2 facility at GANIL (France) and to study isotopes from actinium to nobelium and heavier elements.
An increase of the primary intensity, efficiency, selectivity and spectral resolution by one order of magnitude compared to present-day techniques is envisaged, which is essential to obtain the required data .
The challenges are:
- decoupling the high-intensity heavy ion production beam (> 10^14 particles per second) from the low-intensity reaction products (few atoms per second)
- cooling of the reaction products from MeV/u to meV/u within less then hundred milliseconds
- separating the wanted from the, by orders of magnitude overwhelming, unwanted isotopes
- performing high-resolution laser spectroscopy on a minute amount of atoms in an efficient way.
Nuclear properties (charge radii, nuclear moments and spins) as well as atomic properties (transition energies and ionization potentials) will be deduced in regions of the nuclear chart where they are not known: the neutron-deficient isotopes of the actinide elements, up to nobelium (Z = 102) and beyond. The data will validate state-of-the-art calculations, identify critical weaknesses and guide further theoretical developments.

The aim of this proposal is to develop a novel laser-spectroscopy method and to study nuclear and atomic properties of heaviests elements in order to address the following key questions:
- Is the existence of the heaviest isotopes determined by the interplay between single-particle and collective nucleon degrees of freedom in the atomic nucleus?
- How do relativistic effects and isotopic composition influence the valence atomic structure of the heaviest elements?
The new approach is based on in-gas jet, high-repetition, high-resolution laser resonance ionization spectroscopy of short-lived nuclear-reaction products stopped in a buffer gas cell. The final goal is to couple the new system to the strongest production facility under construction at the ESFRI-listed SPIRAL-2 facility at GANIL (France) and to study isotopes from actinium to nobelium and heavier elements.
An increase of the primary intensity, efficiency, selectivity and spectral resolution by one order of magnitude compared to present-day techniques is envisaged, which is essential to obtain the required data .
The challenges are:
- decoupling the high-intensity heavy ion production beam (> 10^14 particles per second) from the low-intensity reaction products (few atoms per second)
- cooling of the reaction products from MeV/u to meV/u within less then hundred milliseconds
- separating the wanted from the, by orders of magnitude overwhelming, unwanted isotopes
- performing high-resolution laser spectroscopy on a minute amount of atoms in an efficient way.
Nuclear properties (charge radii, nuclear moments and spins) as well as atomic properties (transition energies and ionization potentials) will be deduced in regions of the nuclear chart where they are not known: the neutron-deficient isotopes of the actinide elements, up to nobelium (Z = 102) and beyond. The data will validate state-of-the-art calculations, identify critical weaknesses and guide further theoretical developments.

Max ERC Funding

2 458 397 €

Duration

Start date: 2012-03-01, End date: 2017-02-28

Project acronymHigh-Spin-Grav

ProjectHigher Spin Gravity and Generalized Spacetime Geometry

Researcher (PI)Marc HENNEAUX

Host Institution (HI)UNIVERSITE LIBRE DE BRUXELLES

Call DetailsAdvanced Grant (AdG), PE2, ERC-2015-AdG

SummaryExtensions of Einstein’s gravity containing higher spin gauge fields (massless fields with spin greater than two) constitute a very active and challenging field of research, raising many fascinating issues and questions in different areas of physics. However, in spite of the impressive achievements already in store, it is fair to say that higher spin gravity has not delivered its full potential yet and still faces a rich number of challenges, both conceptual and technical. The objective of this proposal is to deepen our understanding of higher spin gravity, following five interconnected central themes that will constitute the backbone of the project: (i) how to construct an action principle; (ii) how to understand the generalized space-time geometry invariant under the higher-spin gauge symmetry – a key fundamental issue in the project; (iii) what is the precise asymptotic structure of the theory at infinity; (iv) what is the connection of the higher spin algebras with the hidden symmetries of gravitational theories; (v) what are the implications of hypersymmetry, which is the higher-spin version of supersymmetry. Holography in three and higher dimensions will constitute an essential tool.
One of the motivations of the project is the connection of higher spin gravity with tensionless string theory and consistent theories of quantum gravity.

Extensions of Einstein’s gravity containing higher spin gauge fields (massless fields with spin greater than two) constitute a very active and challenging field of research, raising many fascinating issues and questions in different areas of physics. However, in spite of the impressive achievements already in store, it is fair to say that higher spin gravity has not delivered its full potential yet and still faces a rich number of challenges, both conceptual and technical. The objective of this proposal is to deepen our understanding of higher spin gravity, following five interconnected central themes that will constitute the backbone of the project: (i) how to construct an action principle; (ii) how to understand the generalized space-time geometry invariant under the higher-spin gauge symmetry – a key fundamental issue in the project; (iii) what is the precise asymptotic structure of the theory at infinity; (iv) what is the connection of the higher spin algebras with the hidden symmetries of gravitational theories; (v) what are the implications of hypersymmetry, which is the higher-spin version of supersymmetry. Holography in three and higher dimensions will constitute an essential tool.
One of the motivations of the project is the connection of higher spin gravity with tensionless string theory and consistent theories of quantum gravity.

Max ERC Funding

1 841 868 €

Duration

Start date: 2016-10-01, End date: 2021-09-30

Project acronymHOLOBHC

ProjectHolography for realistic black holes and cosmologies

Researcher (PI)Geoffrey Gaston Joseph Jean-Vincent Compere

Host Institution (HI)UNIVERSITE LIBRE DE BRUXELLES

Call DetailsStarting Grant (StG), PE2, ERC-2013-StG

SummaryString theory provides with a consistent framework which combines quantum mechanics and gravity. Two grand challenges of fundamental physics - building realistic models of black holes and cosmologies - can be addressed in this framework thanks to novel holographic methods.
Recent astrophysical evidence indicates that some black holes rotate extremely fast, as close as 98% to the extremality bound. No quantum gravity model for such black holes has been formulated so far. My first objective is building the first model in string theory of an extremal black hole. Taking on this challenge is made possible thanks to recent advances in a remarkable duality known as the gauge/gravity correspondence. If successful, this program will pave the way to a description of quantum gravity effects that have been conjectured to occur close to the horizon of very fast rotating black holes.
Supernovae detection has established that our universe is starting a phase of accelerated expansion. This brings a pressing need to better understand still enigmatic features of de Sitter spacetime that models our universe at late times. My second objective is to derive new universal properties of the cosmological horizon of de Sitter spacetime using tools inspired from the gauge/gravity correspondence. These results will contribute to understand its remarkable entropy, which, according to the standard model of cosmology, bounds the entropy of our observable universe.

String theory provides with a consistent framework which combines quantum mechanics and gravity. Two grand challenges of fundamental physics - building realistic models of black holes and cosmologies - can be addressed in this framework thanks to novel holographic methods.
Recent astrophysical evidence indicates that some black holes rotate extremely fast, as close as 98% to the extremality bound. No quantum gravity model for such black holes has been formulated so far. My first objective is building the first model in string theory of an extremal black hole. Taking on this challenge is made possible thanks to recent advances in a remarkable duality known as the gauge/gravity correspondence. If successful, this program will pave the way to a description of quantum gravity effects that have been conjectured to occur close to the horizon of very fast rotating black holes.
Supernovae detection has established that our universe is starting a phase of accelerated expansion. This brings a pressing need to better understand still enigmatic features of de Sitter spacetime that models our universe at late times. My second objective is to derive new universal properties of the cosmological horizon of de Sitter spacetime using tools inspired from the gauge/gravity correspondence. These results will contribute to understand its remarkable entropy, which, according to the standard model of cosmology, bounds the entropy of our observable universe.

SummaryQuark-Gluon Plasma (QGP) is a primordial state of matter, which consists of interacting free quarks and gluons. QGP likely existed immediately after the Big-Bang, and this extreme form of matter is today created in Little Bangs, which are ultra-relativistic collisions of heavy nuclei at the LHC and RHIC experiments. Based on the deconfinement ideas, a gas-like behaviour of QGP was anticipated. Unexpectedly, predictions of relativistic hydrodynamics - applicable to low momentum hadron data - indicated that QGP behaves as nearly perfect fluid, thus bringing exciting connections between the hottest (QGP) and the coldest (perfect Fermi gas) matter on Earth. However, predictions of hydrodynamical simulations are often weakly sensitive to changes of the bulk QGP parameters. In particular, even a large increase of viscosity not far from the phase transition does not notably change the low momentum predictions; in addition, the origin of the surprisingly low viscosity remains unclear. To understand the QGP properties, and to challenge the perfect fluid paradigm, we will develop a novel precision tomographic tool based on: i) state of the art, no free parameters, energy loss model of high momentum parton interactions with evolving QGP, ii) simulations of QGP evolution, in which the medium parameters will be systematically varied, and the resulting temperature profiles used as inputs for the energy loss model. In a substantially novel approach, this will allow using the data of rare high momentum particles to constrain the properties of the bulk medium. We will use this tool to: i) test our “soft-to-hard” medium hypothesis, i.e. if the bulk behaves as a nearly perfect fluid near critical temperature Tc, and as a weakly coupled system at higher temperatures, ii) map “soft-to-hard” boundary for QGP, iii) understand the origin of the low viscosity near Tc, and iv) test if QGP is formed in small (p+p or p(d)+A) systems.

Quark-Gluon Plasma (QGP) is a primordial state of matter, which consists of interacting free quarks and gluons. QGP likely existed immediately after the Big-Bang, and this extreme form of matter is today created in Little Bangs, which are ultra-relativistic collisions of heavy nuclei at the LHC and RHIC experiments. Based on the deconfinement ideas, a gas-like behaviour of QGP was anticipated. Unexpectedly, predictions of relativistic hydrodynamics - applicable to low momentum hadron data - indicated that QGP behaves as nearly perfect fluid, thus bringing exciting connections between the hottest (QGP) and the coldest (perfect Fermi gas) matter on Earth. However, predictions of hydrodynamical simulations are often weakly sensitive to changes of the bulk QGP parameters. In particular, even a large increase of viscosity not far from the phase transition does not notably change the low momentum predictions; in addition, the origin of the surprisingly low viscosity remains unclear. To understand the QGP properties, and to challenge the perfect fluid paradigm, we will develop a novel precision tomographic tool based on: i) state of the art, no free parameters, energy loss model of high momentum parton interactions with evolving QGP, ii) simulations of QGP evolution, in which the medium parameters will be systematically varied, and the resulting temperature profiles used as inputs for the energy loss model. In a substantially novel approach, this will allow using the data of rare high momentum particles to constrain the properties of the bulk medium. We will use this tool to: i) test our “soft-to-hard” medium hypothesis, i.e. if the bulk behaves as a nearly perfect fluid near critical temperature Tc, and as a weakly coupled system at higher temperatures, ii) map “soft-to-hard” boundary for QGP, iii) understand the origin of the low viscosity near Tc, and iv) test if QGP is formed in small (p+p or p(d)+A) systems.

Max ERC Funding

1 356 000 €

Duration

Start date: 2017-09-01, End date: 2022-08-31

Project acronymQUTE

ProjectQuantum Tensor Networks and Entanglement

Researcher (PI)Frank Paul Bernard Verstraete

Host Institution (HI)UNIVERSITEIT GENT

Call DetailsConsolidator Grant (CoG), PE2, ERC-2014-CoG

SummaryOne of the major challenges in theoretical physics is the development of systematic methods for describing and simulating quantum many body systems with strong interactions. Given the huge experimental progress and technological potential in manipulating strongly correlated atoms and electrons, there is a pressing need for such a better theory.
The study of quantum entanglement holds the promise of being a game changer for this question. By mapping out the entanglement structure of the low-energy wavefunctions of quantum spin systems on the lattice, the prototypical example of strongly correlated systems, we have found that the associated wavefunctions can be very well modeled by a novel class of variational wavefunctions, called tensor network states. Tensor networks are changing the ways in which strongly correlated systems can be simulated, classified and understood: as opposed to the usual many body methods, these tensor networks are generic and describe non-perturbative effects in a very natural way.
The goal of this proposal is to advance the scope and use of tensor networks in several directions, both from the numerical and theoretical point of view. We plan to study the differential geometric character of the manifold of tensor network states and the associated nonlinear differential equations of motion on it, develop post tensor network methods in the form of effective theories on top of the tensor network vacuum, study tensor networks in the context of lattice gauge theories and topologically ordered systems, and investigate the novel insights that tensor networks are providing to the renormalization group and the holographic principle.
Colloquially, we believe that tensor networks and the theory of entanglement provide a basic new vocabulary for describing strongly correlated quantum systems, and the main goal of this proposal is to develop the syntax and semantics of that new language.

One of the major challenges in theoretical physics is the development of systematic methods for describing and simulating quantum many body systems with strong interactions. Given the huge experimental progress and technological potential in manipulating strongly correlated atoms and electrons, there is a pressing need for such a better theory.
The study of quantum entanglement holds the promise of being a game changer for this question. By mapping out the entanglement structure of the low-energy wavefunctions of quantum spin systems on the lattice, the prototypical example of strongly correlated systems, we have found that the associated wavefunctions can be very well modeled by a novel class of variational wavefunctions, called tensor network states. Tensor networks are changing the ways in which strongly correlated systems can be simulated, classified and understood: as opposed to the usual many body methods, these tensor networks are generic and describe non-perturbative effects in a very natural way.
The goal of this proposal is to advance the scope and use of tensor networks in several directions, both from the numerical and theoretical point of view. We plan to study the differential geometric character of the manifold of tensor network states and the associated nonlinear differential equations of motion on it, develop post tensor network methods in the form of effective theories on top of the tensor network vacuum, study tensor networks in the context of lattice gauge theories and topologically ordered systems, and investigate the novel insights that tensor networks are providing to the renormalization group and the holographic principle.
Colloquially, we believe that tensor networks and the theory of entanglement provide a basic new vocabulary for describing strongly correlated quantum systems, and the main goal of this proposal is to develop the syntax and semantics of that new language.

Max ERC Funding

1 927 500 €

Duration

Start date: 2015-09-01, End date: 2020-08-31

Project acronymSpecMAT

ProjectSpectroscopy of exotic nuclei in a Magnetic Active Target

Researcher (PI)Riccardo Raabe

Host Institution (HI)KATHOLIEKE UNIVERSITEIT LEUVEN

Call DetailsConsolidator Grant (CoG), PE2, ERC-2013-CoG

SummarySpecMAT aims at providing crucial experimental information to answer key questions about the structure of atomic nuclei:
- What are the forces driving the shell structure in nuclei and how do they change in nuclei far from stability?
- What remains of the Z = 28 and N = 50 “magic numbers” in 78Ni?
- Do we understand shape coexistence in nuclei, and what are the mechanisms controlling its appearance?
The position of natural and “intruder” shells will be mapped in two critical regions, the neutron-rich nuclei around Z = 28 and the neutron-deficient nuclei around Z = 82. The centroids of the shell strength are derived from the complete spectroscopy of those systems in nucleon-transfer measurements. This method will be applied for the first time in the region of neutron-deficient Pb nuclei.
In SpecMAT (Spectroscopy of exotic nuclei in a Magnetic Active Target) a novel instrument will overcome the present challenges in performing such measurements with very weak beams of unstable nuclei. It combines high luminosity, high efficiency and a very large dynamic range and allows detection of both charged-particle and gamma-ray radiation. The instrument owns its remarkable performances to a number of advanced technologies concerning the use of electronics, gaseous detectors and gamma-ray detectors in a magnetic field.
The SpecMAT detector will be coupled to the HIE-ISOLDE facility for the production and post-acceleration of radioactive ion beams in construction at CERN in Geneva. HIE-ISOLDE will provide world-unique beams thanks to the use of the proton injector of the CERN complex.
If successful, SpecMAT at HIE-ISOLDE will produce specific results in nuclear structure which cannot be reached by other programmes elsewhere. Such results will have a significant impact on the present theories and models of the atomic nucleus.

SpecMAT aims at providing crucial experimental information to answer key questions about the structure of atomic nuclei:
- What are the forces driving the shell structure in nuclei and how do they change in nuclei far from stability?
- What remains of the Z = 28 and N = 50 “magic numbers” in 78Ni?
- Do we understand shape coexistence in nuclei, and what are the mechanisms controlling its appearance?
The position of natural and “intruder” shells will be mapped in two critical regions, the neutron-rich nuclei around Z = 28 and the neutron-deficient nuclei around Z = 82. The centroids of the shell strength are derived from the complete spectroscopy of those systems in nucleon-transfer measurements. This method will be applied for the first time in the region of neutron-deficient Pb nuclei.
In SpecMAT (Spectroscopy of exotic nuclei in a Magnetic Active Target) a novel instrument will overcome the present challenges in performing such measurements with very weak beams of unstable nuclei. It combines high luminosity, high efficiency and a very large dynamic range and allows detection of both charged-particle and gamma-ray radiation. The instrument owns its remarkable performances to a number of advanced technologies concerning the use of electronics, gaseous detectors and gamma-ray detectors in a magnetic field.
The SpecMAT detector will be coupled to the HIE-ISOLDE facility for the production and post-acceleration of radioactive ion beams in construction at CERN in Geneva. HIE-ISOLDE will provide world-unique beams thanks to the use of the proton injector of the CERN complex.
If successful, SpecMAT at HIE-ISOLDE will produce specific results in nuclear structure which cannot be reached by other programmes elsewhere. Such results will have a significant impact on the present theories and models of the atomic nucleus.

Max ERC Funding

1 944 900 €

Duration

Start date: 2014-06-01, End date: 2019-05-31

Project acronymSYDUGRAM

ProjectSymmetries and Dualities in Gravity and M-theory

Researcher (PI)Marc Andre Marie Albert Henneaux

Host Institution (HI)UNIVERSITE LIBRE DE BRUXELLES

Call DetailsAdvanced Grant (AdG), PE2, ERC-2010-AdG_20100224

SummaryDespite its considerable success, Einstein theory of gravity is an unfinished revolution: it has limitations both at the microscopic scales and at the macroscopic scales. The objective of this proposal is to provide a better understanding of the gravitational interaction beyond Einstein. This will be done by analyzing, with the aim of identifying it, the symmetry structure underlying the searched-for fundamental formulation of gravity, relying on and exploring further the intriguing and fascinating infinite-dimensional algebras uncovered recently in the study of supergravities and M-theory. One of the motivations of the project is to make progress in the development of quantum gravity, with the goal of providing new insight into black holes and cosmological singularities.

Despite its considerable success, Einstein theory of gravity is an unfinished revolution: it has limitations both at the microscopic scales and at the macroscopic scales. The objective of this proposal is to provide a better understanding of the gravitational interaction beyond Einstein. This will be done by analyzing, with the aim of identifying it, the symmetry structure underlying the searched-for fundamental formulation of gravity, relying on and exploring further the intriguing and fascinating infinite-dimensional algebras uncovered recently in the study of supergravities and M-theory. One of the motivations of the project is to make progress in the development of quantum gravity, with the goal of providing new insight into black holes and cosmological singularities.

Max ERC Funding

1 511 556 €

Duration

Start date: 2011-01-01, End date: 2015-12-31

Project acronymTopoCold

ProjectManipulation of topological phases with cold atoms

Researcher (PI)Nathan GOLDMAN

Host Institution (HI)UNIVERSITE LIBRE DE BRUXELLES

Call DetailsStarting Grant (StG), PE2, ERC-2016-STG

SummaryTopological states of matter constitute one of the hottest disciplines in quantum physics, demonstrating a remarkable fusion between elegant mathematical theories and technological applications. However, solid-state experiments only provide a limited set of physical systems and probes that can reveal non-trivial topological order. It is thus appealing to seek for alternative setups exhibiting topological properties. Cold atoms in optical lattices constitute an instructive and complementary toolbox, being extremely versatile, clean and controllable. In fact, cold-atom theorists and experimentalists have recently developed new tools providing the building blocks for the exploitation of topological atomic gases.
TopoCold will propose realistic optical-lattice setups hosting novel topologically-ordered phases, based on those technologies that are currently developed in cold-atom experiments. The central goal of the project consists in identifying unambiguous manifestations of topological properties that are specific to the cold-atom framework. We will establish concrete methods to experimentally visualize these signatures, elaborating efficient schemes to detect the unique features of topological phases using available manipulation and imaging techniques. This central part of the TopoCold project will deepen our understanding of topological phenomena and guide ongoing experiments. We also plan to elaborate simple protocols to exploit topological excitations, based on the great controllability of atom-light coupling methods. Moreover, by tailoring the geometry and laser-coupling of optical-lattice setups, we will explore topological systems that are not accessible in solid-state devices. Finally, we will study the properties of topological phases that arise in the strongly-correlated regime of atomic gases. TopoCold will build a bridge between several communities, deepening our knowledge of topological phases from an original and interdisciplinary perspective.

Topological states of matter constitute one of the hottest disciplines in quantum physics, demonstrating a remarkable fusion between elegant mathematical theories and technological applications. However, solid-state experiments only provide a limited set of physical systems and probes that can reveal non-trivial topological order. It is thus appealing to seek for alternative setups exhibiting topological properties. Cold atoms in optical lattices constitute an instructive and complementary toolbox, being extremely versatile, clean and controllable. In fact, cold-atom theorists and experimentalists have recently developed new tools providing the building blocks for the exploitation of topological atomic gases.
TopoCold will propose realistic optical-lattice setups hosting novel topologically-ordered phases, based on those technologies that are currently developed in cold-atom experiments. The central goal of the project consists in identifying unambiguous manifestations of topological properties that are specific to the cold-atom framework. We will establish concrete methods to experimentally visualize these signatures, elaborating efficient schemes to detect the unique features of topological phases using available manipulation and imaging techniques. This central part of the TopoCold project will deepen our understanding of topological phenomena and guide ongoing experiments. We also plan to elaborate simple protocols to exploit topological excitations, based on the great controllability of atom-light coupling methods. Moreover, by tailoring the geometry and laser-coupling of optical-lattice setups, we will explore topological systems that are not accessible in solid-state devices. Finally, we will study the properties of topological phases that arise in the strongly-correlated regime of atomic gases. TopoCold will build a bridge between several communities, deepening our knowledge of topological phases from an original and interdisciplinary perspective.